2015 AMC 8 第 1 题

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所有题目均经美国数学协会(MAA)官方合法授权使用。

1.

要铺满一个长 1212 英尺、宽 99 英尺的长方形地板,需要多少平方码地毯?(一码等于 33 英尺。)

How many square yards of carpet are required to cover a rectangular floor that is 1212 feet long and 99 feet wide? (There are 33 feet in a yard.)

1212

3636

108108

324324

972972

答案:A
知识点:单位换算面积
难度评级:370
小提示:

先把两个边长都从英尺转换成码

Convert both side lengths from feet to yards first.

大提示:

再将两个以码为单位的长度相乘,得到平方码

Then multiply the two yard measurements to get square yards.

视频讲解:
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文字解答:

一边长 1212 英尺,即 123=4\dfrac{12}{3} = 4 码。

另一边长 99 英尺,即 93=3\dfrac{9}{3} = 3 码。

因为尺寸是 44 码乘 33 码,所以面积为 43=12 4\cdot3=12 平方码。

所以正确答案是 A

Since one side is 1212 feet, it would be 123=4\dfrac{12}{3} = 4 yards.

Since another side is 99 feet, it would be 93=3\dfrac{9}{3} = 3 yards.

Since the dimensions are 44 yards by 33 yards, the area is 43=12 4\cdot3=12 square yards.

Thus, the correct answer is A .

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